In this paper we consider the following conjecture, proposed by Brian Alspach, concerning partial sums in finite cyclic groups: given a subset \(A\) of \(\mathbb{Z}_n\setminus \{0\}\) of size \(k\) such that \(\sum_{z\in A} z\not= 0\), it is possible to find an ordering \((a_1,\ldots,a_k)\) of the elements of \(A\) such that... Show more

April 23, 2020

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Some new results about a conjecture by Brian Alspach

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